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Finding the Fourth Proportional to 100.26, 138.14 and 82.71

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Solution

The fourth proportional to 100.26, 138.14 and 82.71 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.26 : 138.14 = 82.71 : x
  2. Step 2: Convert to fraction form
    100.26/138.14 = 82.71/x
  3. Step 3: Cross multiply
    100.26x = 138.14 × 82.71
  4. Step 4: Simplify right side
    100.26x = 11,425.56
  5. Step 5: Solve for x
    x = 11,425.56/100.26
  6. Step 6: Final answer
    x = 113.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.